LCM of 382, 500, 393, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 500, 393, 573 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 382, 500, 393, 573. So, keep reading to learn more.
Given numbers are 382,500,393,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,500,393,573 is 37531500.
Find LCM of 382,500,393,573 with Prime Factorization
| 2 | 382, 500, 393, 573 |
| 3 | 191, 250, 393, 573 |
| 191 | 191, 250, 131, 191 |
| 1, 250, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 191 x 1 x 250 x 131 x 1 = 37531500
Therefore, the lowest common multiple of 382,500,393,573 is 37531500.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
382 x 500 x 393 x 573 = 43011099000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
382 : 1, 2, 191, 382
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
393 : 1, 3, 131, 393
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,500,393,573, is 1.
Now, the common factors can be found like this.
382:2x 191
500:2x 2x 5x 5x 5
393:3x 131
573:3x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 191 = 1146
Therefore, the value for common factors is 1146.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 43011099000/(1x1146)
LCM = 43011099000/1146
LCM = 37531500
Thus, we can understand that the LCM of 382,500,393,573 is 37531500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 500, 393, 573
1. What is the LCM of 382, 500, 393, 573?
Answer: LCM of 382, 500, 393, 573 is 37531500.
2. How to calculate the LCM of 382, 500, 393, 573?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 382, 500, 393, 573.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.